The hydrostatic Lagrangian approach to the compressible primitive equations
Abstract This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hydrostatic Lamé and Stokes operators. Local strong well-posedness for large data and global strong well-posedness for small data are established under various assumptions on the pressure law, both in the presence and absence of gravity.
Authors
- Matthias Hieber (ORCID: https://orcid.org/0000-0003-1779-6298)
- Arnab Roy (ORCID: https://orcid.org/0000-0002-5530-0014)
- Yoshiki Iida (ORCID: https://orcid.org/0000-0002-8912-512X)
- Tarek Zöchling
Institutions
- Ikerbasque (ES)
- Waseda University (JP)
- Basque Center for Applied Mathematics (ES)
- Technische Universität Darmstadt (DE)
Publication Details
- Journal
- Mathematische Annalen
- Published
- 2025-04-12
- DOI
- https://doi.org/10.1007/s00208-025-03117-6
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Alexander von Humboldt-Stiftung
- European Commission
- Deutsche Forschungsgemeinschaft
- Eusko Jaurlaritza
- Waseda University
- Technische Universität Darmstadt
- Basque Center for Applied Mathematics
- Japan Society for the Promotion of Science
- Agencia Estatal de Investigación
- European Social Fund